Calculus (Book): Difference between revisions

Calculus (Book) (edit)

708 bytes added , 20 September 2021

no edit summary

6,480

edits

@@ Line 567: / Line 567: @@
 | 11.16 || Exercises || 443
 |-
-! colspan="3" | Chapter 14: Mappings
+! colspan="3" | 12. VECTOR ALGEBRA
 |-
-| 1 || Definition || 345
+| 12.1 || Historical introduction || 445
 |-
-| 2 || Formalism of mappings || 351
+| 12.2 || The vector space of n-tuples of real numbers || 446
 |-
-| 3 || Permutations || 359
+| 12.3 || Geometric interpretation for \(n \leq 3\) || 448
 |-
-! colspan="3" | Chapter 15: Complex Numbers
+| 12.4 || Exercises || 450
 |-
-| 1 || The complex plane || 375
+| 12.5 || The dot product || 451
 |-
-| 2 || Polar form || 380
+| 12.6 || Length or norm of a vector|| 453
+|-
+| 12.7 || Orthogonality of vectors || 455
+|-
+| 12.8 || Exercises || 456
+|-
+| 12.9 || Projections. Angle between vectors in n-space || 457
+|-
+| 12.10 || The unit coordinate vectors || 458
+|-
+| 12.11 || Exercises || 460
+|-
+| 12.12 || The linear span of a finite set of vectors || 462
+|-
+| 12.13 || Linear independence || 463
+|-
+| 12.14 || Bases || 466
+|-
+| 12.15 || Exercises || 467
+|-
+| 12.16 || The vector space \(V_N(C)\) of n-tuples of complex numbers || 468
+|-
+| 12.17 || Exercises || 470
+|-
+! colspan="3" | 13. APPLICATIONS OF VECTOR ALGEBRA TO ANALYTIC GEOMETRY
+|-
+| 1 || Introduction || 471
+|-
+| 2 || Lines in n-space || 472
 |-
 ! colspan="3" | Chapter 16: Induction and Summations